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132156315644013 = 3223101262585659
BaseRepresentation
bin11110000011001000001010…
…001111111011000001101101
3122022221000112212022121110200
4132003020022033323001231
5114310222113301102023
61145023435005424113
736556656462233223
oct3603101217730155
9568830485277420
10132156315644013
11391221a6966a71
12129a494286b039
13589839697c06b
14248c5850d4b13
151042a5083c743
hex78320a3fb06d

132156315644013 has 36 divisors (see below), whose sum is σ = 201183857153760. Its totient is φ = 83439199245600.

The previous prime is 132156315643993. The next prime is 132156315644039. The reversal of 132156315644013 is 310446513651231.

132156315644013 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 6 + 31 + 564 + 40 + 13 = 666.

It is not a de Polignac number, because 132156315644013 - 29 = 132156315643501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132156315644013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132156315644413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29181223 + ... + 33404436.

Almost surely, 2132156315644013 is an apocalyptic number.

It is an amenable number.

132156315644013 is a deficient number, since it is larger than the sum of its proper divisors (69027541509747).

132156315644013 is a wasteful number, since it uses less digits than its factorization.

132156315644013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62585890 (or 62585786 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 132156315644013 in words is "one hundred thirty-two trillion, one hundred fifty-six billion, three hundred fifteen million, six hundred forty-four thousand, thirteen".

Divisors: 1 3 9 23 69 101 207 303 909 2323 6969 10201 20907 30603 91809 234623 703869 2111607 62585659 187756977 563270931 1439470157 4318410471 6321151559 12955231413 18963454677 56890364031 145386485857 436159457571 638436307459 1308478372713 1915308922377 5745926767131 14684035071557 44052105214671 132156315644013